The most secure will be paper wallets & cold  storage.

I saw somebody mentioned jaxx to be honest I wouldn't advise jaxx because it is known issue there that they don't encrypt your private keys therefore if anybody have an access to your device he/she can easily get your private keys.

For computer most popular multi-currency wallet is Exodus but here is the problem because they don't support vast amount of coins.  Exodus website: http://exodus.io/
Take a look at coinomi they support a lot of coins and are adding new coins + everything is encrypted with your password. I am using this wallet when I don't want to create cold storage for every single altcoin. The only drawback is because they are only available for android atm but are working on IOS and DESKTOP versions - it is unknown when will these versions be out. Coinomi website : https://coinomi.com/


Don't use online wallets if you don't have to. Just look around what happened to some exchanges in the past. You need to trust coinabse with you funds they can freeze your funds or they can get hacked or have any other failure so you wouldn't be able to use them. They don't give you an option to extract your private keys. Understand the risks by using online wallets as your main wallet.